Which facts are true for the graph of the function below? Check all that apply.
1 answer:
The given function is:
The statement A is true. Substituting x = 1 in given expression we get 0. So, (1,0) is the x-intercept of the function.
The statement B is false. There is no y-intercept of the function.
The statement C is false. The base of log is less than 1, so it will be a decreasing function.
The statement D is true.
The statement E if true. Range of the log function is set of all Real numbers.
The statement F is true. The given log function is defined for values of x greater than 0.
So the correct options are A, D, E and F
The statement A is true. Substituting x = 1 in given expression we get 0. So, (1,0) is the x-intercept of the function.
The statement B is false. There is no y-intercept of the function.
The statement C is false. The base of log is less than 1, so it will be a decreasing function.
The statement D is true.
The statement E if true. Range of the log function is set of all Real numbers.
The statement F is true. The given log function is defined for values of x greater than 0.
So the correct options are A, D, E and F
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Here is an example... ( look at the attachment bellow ) :
Answer:
The dimensions of the wall are 100 ft x 100 ft
Step-by-step explanation:
we know that
The perimeter of a rectangular wall is
where
x is the length
y is the width
we have
so
simplify
----> equation A
The area of a rectangular wall is equal to
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
Convert the quadratic equation in vertex form
Factor -1
Complete the square
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (100,10,000)
The x-coordinate of the vertex represent the length of the wall for a maximum area
so
Find the value of y
equation A
therefore
The dimensions of the wall are 100 ft x 100 ft